Find the area of this triangle. 10 88° 12 [?] square units Round to the nearest hundredth. I Enter

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.4: Circumference And Area Of A Circle
Problem 33E
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Hey what’s the answer to this
## Finding the Area of a Triangle

To find the area of a triangle, you can use the formula: 
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

### Example Problem:
#### Problem Statement:
Find the area of this triangle.

#### Triangle Details:
- A right-angle triangle is depicted with one side labeled 10 units (which we shall consider as the height) and another side labeled 12 units (which can be considered the base). The angle between these two is shown as 88°.

#### Calculation:
Given that the base \(b = 12\) units and the height \(h = 10\) units, the area \(A\) of the triangle can be calculated as:
\[ A = \frac{1}{2} \times 12 \times 10 \]
\[ A = \frac{1}{2} \times 120 \]
\[ A = 60 \text{ square units} \]

So, the area of the triangle is 60 square units.

#### Instructions:
Please enter the answer in the box below and click "Enter." Ensure that you round your answer to the nearest hundredth if necessary.

[      ] (Enter)

**Note:** For this particular problem, rounding to the nearest hundredth is not necessary because the answer is a whole number.

This problem helps in understanding how to apply the basic area formula for triangles, which is essential for solving geometric problems.
Transcribed Image Text:## Finding the Area of a Triangle To find the area of a triangle, you can use the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] ### Example Problem: #### Problem Statement: Find the area of this triangle. #### Triangle Details: - A right-angle triangle is depicted with one side labeled 10 units (which we shall consider as the height) and another side labeled 12 units (which can be considered the base). The angle between these two is shown as 88°. #### Calculation: Given that the base \(b = 12\) units and the height \(h = 10\) units, the area \(A\) of the triangle can be calculated as: \[ A = \frac{1}{2} \times 12 \times 10 \] \[ A = \frac{1}{2} \times 120 \] \[ A = 60 \text{ square units} \] So, the area of the triangle is 60 square units. #### Instructions: Please enter the answer in the box below and click "Enter." Ensure that you round your answer to the nearest hundredth if necessary. [ ] (Enter) **Note:** For this particular problem, rounding to the nearest hundredth is not necessary because the answer is a whole number. This problem helps in understanding how to apply the basic area formula for triangles, which is essential for solving geometric problems.
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